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Finding the Fourth Proportional to 77,677.60, 107,167.44 and 45,830.56

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Solution

The fourth proportional to 77,677.60, 107,167.44 and 45,830.56 is: 63,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,677.60 : 107,167.44 = 45,830.56 : x
  2. Step 2: Convert to fraction form
    77,677.60/107,167.44 = 45,830.56/x
  3. Step 3: Cross multiply
    77,677.60x = 107,167.44 × 45,830.56
  4. Step 4: Simplify right side
    77,677.60x = 4,911,543,788.97
  5. Step 5: Solve for x
    x = 4,911,543,788.97/77,677.60
  6. Step 6: Final answer
    x = 63,229.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.